# Midpoint Calculator

Calculate the midpoint between two Entered coordinates (x_{1} , y_{1} ) and (x_{2} , y_{2}) in the XY plane by averaging the XY coordinates.

The Midpoint Between (x_{1} , y_{1} ) and (x_{2} , y_{2}) points measure a linear midpoint between two locations.

### Midpoint Formula

M = ((x_{1} + x_{2})/2 , (y_{1} + y_{2})/2)

Find the point which is exactly halfway between two given points by averaging the x-values and the y-values. In geometry, the point on a line segment that divides the line into two equal parts.

**Therefore we can define the Midpoint as follows:**

The line segment **AB** is a part of the line that is bound by two distinct points **A** and **B**, which are called the endpoints of the line segment **AB**.

The point **M** is the midpoint of the line segment **AB** if it is an element of the segment and divides it into two congruent segments, **AM and MB**. Each segment between the midpoint M and an endpoint have the equal length.

The midpoint is the center, or middle, of a line segment. Any line segment has a unique midpoint.

So, we can find the midpoint of any segment on the coordinate plane by using the mipoint formula.

$$ M(x_M,y_M)\equiv M(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})$$ $$ or\equiv (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$$